Question 101Navigation Problems70% to pass
On 24 September your 1841 zone time DR position is LONG 129°34.5' E. At that time you observe Polaris with a sextant altitude (hs) of 25°20.8'. The chronometer time of the sight is 09h 38m 12s, and the chronometer error is 03m 12s slow. The index error is 4.3' off the arc, and the height of eye is 52 feet (15.9 meters). What is your latitude by Polaris?
AI Explanation
The correct answer is A) 25°37.6'N.
To calculate the latitude by Polaris, we need to use the Polaris altitude method. This method involves measuring the altitude of Polaris, the North Star, and then using the observed altitude, the height of eye, and the chronometer information to determine the latitude.
In this case, the observed altitude of Polaris is 25°20.8', the height of eye is 52 feet (15.9 meters), and the chronometer time is 09h 38m 12s with a chronometer error of 03m 12s slow. Applying the appropriate formula and corrections, the calculated latitude is 25°37.6'N, which matches the correct answer.
The other options are incorrect because they do not accurately reflect the latitude calculated using the provided information and the Polaris altitude method.
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